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<h3 class="heading"><span class="type">Paragraph</span></h3>
<p><dfn class="terminology">Example 1</dfn> Suppose that the characteristic equation of</p>
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\begin{equation}
y^{\prime \prime}+b y^{\prime}+c y=0\tag{3.2.2}
\end{equation}
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<p class="continuation">has two distinct real roots, <span class="process-math">\(r_1, r_2\text{.}\)</span> Show that <span class="process-math">\(y_1=e^{r_1 x}\text{,}\)</span> <span class="process-math">\(y_2=e^{r_2 x}\)</span> are a fundamental set of solutions.</p>
<span class="incontext"><a href="sec3_2.html#p-81" class="internal">in-context</a></span>
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